# Full text of "Handbook Of Chemical Engineering - I"

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```MECHANICAL SEPARATION
283
In a cylindrical tank the horizontal velocity along or parallel to the axis of X can
RV be obtained from the proportion V: vx = x : R or vx ~----the velocity of a particle
at any distance x from the center of the tank.
Now -^ = vx = — and xdx
RvdL
1			I	>	^f^
398											»	^p *	s*	-JB—		<<
£51											X	^		X"	"
141									^	/?		s	^ \	[>
63.1								dJ>	/£		[^
>								y	c		X*
§	17.8							:/		/ff
u. o   .	10.						J		:/
I							^	.	/;
^-ss <								/;
j		/:
1.					'/	/'
TWtf				f	.y	I
.316				/	^
.178			/		{
0	.1		/		/
9 MANTISSAS OF LOG. 0
FIG. 13.—Fall of quartz and galena.
x2 Integrating both sides of the equation V^ becomes equal to RVt or t = ^y» which
gives the time for any particle to advance towards the overflow horizontally a distance x. In time t, however, the particle has subsided the distance mt or y. Substituting — for t in the above time expression and transposing, the equation for path